On the mixed problem for quasilinear pseudoparabolic equation |
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| Authors: | Huseyin Halilov |
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| Affiliation: | Department of Mathematics , Kocaeli University , Ataturk Bulvari, Izmit, 41300, TURKEY |
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| Abstract: | In this paper the multidimensional mixed problem for the quasilinear pseudoparabolic equation ut-Lxu-εLxut=f(t,x,u) is considered. Lx is a differential operator, which composes (with boundary operator) a self adjoint operator. An existence, uniqueness and also continuous dependense on the small parameter ε>0 of generalized solution is proved. The estimation of the difference of exact and approximate solutions is obtained |
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| Keywords: | Quasilinear pseudoparabolic equation mixed problem system of nonlinear integral equations generalized solutions |
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